Unilateral dynamic contact of two viscoelastic beams
نویسندگان
چکیده
منابع مشابه
On the Frictionless Unilateral Contact of Two Viscoelastic Bodies
We consider a mathematical model which describes the quasistatic contact between two deformable bodies. The bodies are assumed to have a viscoelastic behavior that we model with Kelvin-Voigt constitutive law. The contact is frictionless and is modeled with the classical Signorini condition with zero-gap function. We derive a variational formulation of the problem and prove the existence of a un...
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Abstract. In this paper, we study the dynamic frictional contact of a viscoelastic beam with a deformable obstacle. The beam is assumed to be situated horizontally and to move, in both horizontal and tangential directions, by the effect of applied forces. The left end of the beam is clamped and the right one is free. Its horizontal displacement is constrained because of the presence of a deform...
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Situations of contact between deformable bodies are very common in industry and everyday life such as train wheels with the rails, a shoe with the floor, tectonic plates, the car’s braking system, etc. Because of the importance of the contact problems, a considerable effort has been made in the modeling and numerical simulations, and the engineering literature concerning this topic is rather ex...
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The motion of viscoelastic (Kelvin-Voigt model) bodies between an upper and a lower obstacle is studied both mathematically and numerically. The two obstacles are assumed to be stationary perfect rigid, therefore, Signorini contact conditions are imposed at each obstacle, which can be interpreted as a couple of complementarity conditions (CCs). The convergence of numerical trajectories for gene...
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We deal with initial-boundary value problems describing vertical vibrations of viscoelastic von Kármán-Donnell shells with a rigid inner obstacle. The short memory (Kelvin-Voigt) material is considered. A weak formulation of the problem is in the form of the hyperbolic variational inequality. We solve the problem using the penalization method.
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 2011
ISSN: 0033-569X,1552-4485
DOI: 10.1090/s0033-569x-2011-01237-7